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Finding the Third Proportional to 206,808,530 and 448,082,803

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Solution

The third proportional to 206,808,530 and 448,082,803 is: 970,840,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808,530 : 448,082,803 = 448,082,803 : x
  2. Step 2: Convert to fraction form
    206,808,530/448,082,803 = 448,082,803/x
  3. Step 3: Cross multiply
    206,808,530x = 448,082,803 × 448,082,803
  4. Step 4: Simplify right side
    206,808,530x = 200,778,198,344,336,800
  5. Step 5: Solve for x
    x = 200,778,198,344,336,800/206,808,530
  6. Step 6: Final answer
    x = 970,840,991.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.